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8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting?
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8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted i...
Total Surface Area Calculation
To find the total cost of painting the cuboidal boxes, we first need to calculate the surface area of one box.
- Dimensions of one box: 60 cm x 45 cm x 30 cm
- Formula for surface area of a cuboid:
Surface Area = 2(lw + lh + wh)
where l = length, w = width, h = height.
- Calculating each area:
- lw = 60 cm * 45 cm = 2700 cm²
- lh = 60 cm * 30 cm = 1800 cm²
- wh = 45 cm * 30 cm = 1350 cm²
- Total surface area of one box:
Surface Area = 2(2700 + 1800 + 1350)
= 2 * 5850 cm²
= 11700 cm²
Conversion to Square Metres
Since the painting rate is given per square metre, we need to convert the area from square centimetres to square metres.
- Conversion:
1 m² = 10,000 cm²
Total Surface Area in m² = 11700 cm² / 10,000 = 1.17 m²
Total Surface Area for 8 Boxes
Now, we will calculate the total surface area for 8 boxes.
- Total surface area for 8 boxes:
Total Area = 8 * 1.17 m² = 9.36 m²
Cost Calculation
Finally, we can calculate the total cost of painting.
- Painting rate: Rs 200 per m²
- Total Cost:
Total Cost = 9.36 m² * 200 Rs/m² = Rs 1872
Final Result
Therefore, the total cost of painting the 8 cuboidal boxes is Rs 1872.
To find the total cost of painting the cuboidal boxes, we first need to calculate the surface area of one box.
- Dimensions of one box: 60 cm x 45 cm x 30 cm
- Formula for surface area of a cuboid:
Surface Area = 2(lw + lh + wh)
where l = length, w = width, h = height.
- Calculating each area:
- lw = 60 cm * 45 cm = 2700 cm²
- lh = 60 cm * 30 cm = 1800 cm²
- wh = 45 cm * 30 cm = 1350 cm²
- Total surface area of one box:
Surface Area = 2(2700 + 1800 + 1350)
= 2 * 5850 cm²
= 11700 cm²
Conversion to Square Metres
Since the painting rate is given per square metre, we need to convert the area from square centimetres to square metres.
- Conversion:
1 m² = 10,000 cm²
Total Surface Area in m² = 11700 cm² / 10,000 = 1.17 m²
Total Surface Area for 8 Boxes
Now, we will calculate the total surface area for 8 boxes.
- Total surface area for 8 boxes:
Total Area = 8 * 1.17 m² = 9.36 m²
Cost Calculation
Finally, we can calculate the total cost of painting.
- Painting rate: Rs 200 per m²
- Total Cost:
Total Cost = 9.36 m² * 200 Rs/m² = Rs 1872
Final Result
Therefore, the total cost of painting the 8 cuboidal boxes is Rs 1872.
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8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting?
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8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting?.
8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 8 cuboidal boxes with dimensions 60 cmx45 cmx30 cm are to be painted if the rate of painting is rs 200 per metre square find the total cost of painting?.
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